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A063971 Values of n for which A013939(n)/n is an integer. +0
3
1, 6, 7, 8, 9, 455, 457, 458, 459, 461, 8167302, 8167314, 8167315, 8167316, 8167328, 8167330, 8167335, 8167336, 8167346, 8167347, 8167348, 8167350, 8167351, 8167352, 8167410, 8167413 (list; graph; listen)
OFFSET

1,2

COMMENT

For 455, 457, 458, 459, 461 the quotient is 2. The cause of "step-like" appearance of terms is that the next integer is reached slowly with the summatory function A013939. Next "island" is expected above 500000. Similar phenomenon is observable in the analogous A050226 sequence too.

The quotients for "3rd island" after 8160000 equal 3. (Sep 21, 2001)

MATHEMATICA

s = 0; Do[s = s + Length[FactorInteger[n]]; If[IntegerQ[s/n], Print[n]], {n, 1, 10000000}]

CROSSREFS

A013939, A050226, A001221.

Sequence in context: A037366 A047551 A010755 this_sequence A097069 A031237 A031314

Adjacent sequences: A063968 A063969 A063970 this_sequence A063972 A063973 A063974

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 05 2001

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 19 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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